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A detailed look at some of the more modern issues of hydrodynamic
stability, including transient growth, eigenvalue spectra,
secondary instability. It presents analytical results and numerical
simulations, linear and selected nonlinear stability methods. By
including classical results as well as recent developments in the
field of hydrodynamic stability and transition, the book can be
used as a textbook for an introductory, graduate-level course in
stability theory or for a special-topics fluids course. It is
equally of value as a reference for researchers in the field of
hydrodynamic stability theory or with an interest in recent
developments in fluid dynamics. Stability theory has seen a rapid
development over the past decade, this book includes such new
developments as direct numerical simulations of transition to
turbulence and linear analysis based on the initial-value problem.
The origins of turbulent ?ow and the transition from laminar to
turbulent ?ow are the most important unsolved problems of ?uid
mechanics and aerodynamics. - sides being a fundamental question of
?uid mechanics, there are numerous app- cations relying on
information regarding transition location and the details of the
subsequent turbulent ?ow. For example, the control of transition to
turbulence is - pecially important in (1) skin-friction reduction
of energy ef?cient aircraft, (2) the performance of heat exchangers
and diffusers, (3) propulsion requirements for - personic aircraft,
and (4) separation control. While considerable progress has been
made in the science of laminar to turbulent transition over the
last 30 years, the c- tinuing increase in computer power as well as
new theoretical developments are now revolutionizing the area. It
is now starting to be possible to move from simple 1D eigenvalue
problems in canonical ?ows to global modes in complex ?ows, all -
companied by accurate large-scale direct numerical simulations
(DNS). Here, novel experimental techniques such as modern particle
image velocimetry (PIV) also have an important role. Theoretically
the in?uence of non-normality on the stability and transition is
gaining importance, in particular for complex ?ows. At the same
time the enigma of transition in the oldest ?ow investigated,
Reynolds pipe ?ow tran- tion experiment, is regaining attention.
Ideas from dynamical systems together with DNS and experiments are
here giving us new insights.
The origins of turbulent ?ow and the transition from laminar to
turbulent ?ow are the most important unsolved problems of ?uid
mechanics and aerodynamics. - sides being a fundamental question of
?uid mechanics, there are numerous app- cations relying on
information regarding transition location and the details of the
subsequent turbulent ?ow. For example, the control of transition to
turbulence is - pecially important in (1) skin-friction reduction
of energy ef?cient aircraft, (2) the performance of heat exchangers
and diffusers, (3) propulsion requirements for - personic aircraft,
and (4) separation control. While considerable progress has been
made in the science of laminar to turbulent transition over the
last 30 years, the c- tinuing increase in computer power as well as
new theoretical developments are now revolutionizing the area. It
is now starting to be possible to move from simple 1D eigenvalue
problems in canonical ?ows to global modes in complex ?ows, all -
companied by accurate large-scale direct numerical simulations
(DNS). Here, novel experimental techniques such as modern particle
image velocimetry (PIV) also have an important role. Theoretically
the in?uence of non-normality on the stability and transition is
gaining importance, in particular for complex ?ows. At the same
time the enigma of transition in the oldest ?ow investigated,
Reynolds pipe ?ow tran- tion experiment, is regaining attention.
Ideas from dynamical systems together with DNS and experiments are
here giving us new insights.
A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.
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